{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x175f81f2130>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Question 1\n",
    "import numpy as np\n",
    "import cv2\n",
    "import math\n",
    "from scipy import ndimage as ndi\n",
    "import matplotlib.pyplot as plt\n",
    "from skimage.segmentation import watershed\n",
    "from skimage.feature import peak_local_max\n",
    "\n",
    "image = cv2.imread(\"ball_set.jpg\")\n",
    "gray_image = cv2.cvtColor(image, cv2.COLOR_RGB2GRAY)\n",
    "plt.imshow(gray_image, cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Try to distinguish the ball from the back ground\n",
    "\n",
    "# Make the graph becomes binary \n",
    "mask_filter = np.ones((3,3))\n",
    "t_val, b_y_image = cv2.threshold(gray_image,0,255, cv2.THRESH_TOZERO+cv2.THRESH_OTSU)\n",
    "filted_im = cv2.morphologyEx(b_y_image, cv2.MORPH_OPEN, mask_filter)\n",
    "\n",
    "distance = ndi.distance_transform_edt(filted_im)\n",
    "\n",
    "coords = peak_local_max(distance, footprint=mask_filter, labels=filted_im)\n",
    "masks =  np.zeros(distance.shape, dtype=bool)\n",
    "masks[tuple(coords.T)] = True\n",
    "marker, _ = ndi.label(masks)\n",
    "labels = watershed(-distance, marker, mask=filted_im)\n",
    "#plt.imshow(labels, cmap='gray')\n",
    "\n",
    "figure, axes = plt.subplots(ncols=3, figsize=(9, 3), sharex=True, sharey=True)\n",
    "axe = axes.ravel()\n",
    "\n",
    "axe[0].imshow(filted_im, cmap=\"gray\")\n",
    "axe[0].set_title('Binary')\n",
    "axe[1].imshow(labels, cmap=plt.cm.nipy_spectral)\n",
    "axe[1].set_title('Separated')\n",
    "axe[2].imshow(-distance, cmap=plt.cm.gray)\n",
    "axe[2].set_title('Distance')\n",
    "\n",
    "for a in ax:\n",
    "    a.set_axis_off()\n",
    "\n",
    "figure.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'\\n\\ndef watershed(image):\\n    # Calculate the distance transform\\n    width, height = image.shape\\n    \\n    # Search through the pic\\n    for i in range(1,height-1):\\n        for j in range(1,width):\\n            dis = calculate_distance(i,j,i-1,j-1)\\n            minDis = min(image[i-1][j],image[i-1][j-1]+dis)\\n            \\n            dis = calculate_distance(i,j,i-1,j)\\n            minDis = min(minDis,image[i-1][j]+dis)\\n            \\n            dis = calculate_distance(i,j,i,j-1)\\n            minDis = min(minDis, image[i][j-1]+dis)\\n            \\n            dis = calculate_distance(i,j,i+1,j+1)\\n            minDis = min(minDis, image[i+1][j-1]+dis)\\n            \\n            image[i][j] = round(minDis)\\n    \\n    for i in range(height-2, 1, -1):\\n        for j in range(width-2, -1, -1):\\n            dis = calculate_distance(i,j,i+1,j)\\n            minDis = min(image[i][j], dis+image[i+1][j])\\n            \\n            dis = calculate_distance(i,j,i+1,j+1)\\n            minDis = min(minDis, dis+image[i+1][j+1])\\n            \\n            dis = calculate_distance(i,j,i,j+1)\\n            minDis = min(minDis, image[i][j+1]+dis)\\n            \\n            dis = calculate_distance(i,j,i-1,j+1)\\n            minDis = min(minDis, image[i-1][j+1]+dis)\\n            \\n            image[i][j] = round(minDis)\\n    \\n    return image\\n    \\n\\ndef calculate_distance(x1,y1,x2,y2):\\n    dist = ((x2-x1)**2 + (y2-y1)**2) ** 0.5\\n    return dist\\n\\n'"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "'''\n",
    "\n",
    "def watershed(image):\n",
    "    # Calculate the distance transform\n",
    "    width, height = image.shape\n",
    "    \n",
    "    # Search through the pic\n",
    "    for i in range(1,height-1):\n",
    "        for j in range(1,width):\n",
    "            dis = calculate_distance(i,j,i-1,j-1)\n",
    "            minDis = min(image[i-1][j],image[i-1][j-1]+dis)\n",
    "            \n",
    "            dis = calculate_distance(i,j,i-1,j)\n",
    "            minDis = min(minDis,image[i-1][j]+dis)\n",
    "            \n",
    "            dis = calculate_distance(i,j,i,j-1)\n",
    "            minDis = min(minDis, image[i][j-1]+dis)\n",
    "            \n",
    "            dis = calculate_distance(i,j,i+1,j+1)\n",
    "            minDis = min(minDis, image[i+1][j-1]+dis)\n",
    "            \n",
    "            image[i][j] = round(minDis)\n",
    "    \n",
    "    for i in range(height-2, 1, -1):\n",
    "        for j in range(width-2, -1, -1):\n",
    "            dis = calculate_distance(i,j,i+1,j)\n",
    "            minDis = min(image[i][j], dis+image[i+1][j])\n",
    "            \n",
    "            dis = calculate_distance(i,j,i+1,j+1)\n",
    "            minDis = min(minDis, dis+image[i+1][j+1])\n",
    "            \n",
    "            dis = calculate_distance(i,j,i,j+1)\n",
    "            minDis = min(minDis, image[i][j+1]+dis)\n",
    "            \n",
    "            dis = calculate_distance(i,j,i-1,j+1)\n",
    "            minDis = min(minDis, image[i-1][j+1]+dis)\n",
    "            \n",
    "            image[i][j] = round(minDis)\n",
    "    \n",
    "    return image\n",
    "    \n",
    "\n",
    "def calculate_distance(x1,y1,x2,y2):\n",
    "    dist = ((x2-x1)**2 + (y2-y1)**2) ** 0.5\n",
    "    return dist\n",
    "\n",
    "'''"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x175f83c5af0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "red,blue,green = cv2.split(image)\n",
    "\n",
    "plt.imshow(red, cmap='Reds')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x175f842b5b0>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(blue, cmap='Blues')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x175f8482ac0>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(green, cmap='Greens')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Flatten the martix\n",
    "red_y = red.flatten()\n",
    "blue_y = blue.flatten()\n",
    "green_y = green.flatten()\n",
    "\n",
    "length = image.shape[1]*image.shape[0]\n",
    "new_pic = np.zeros((3,length))\n",
    "for i in range(length):\n",
    "    new_pic[0][i] = red_y[i]\n",
    "for i in range(length):\n",
    "    new_pic[1][i] = blue_y[i]\n",
    "for i in range(length):\n",
    "    new_pic[2][i] = green_y[i]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "ename": "ValueError",
     "evalue": "Expected 2D array, got 1D array instead:\narray=[0 1 2].\nReshape your data either using array.reshape(-1, 1) if your data has a single feature or array.reshape(1, -1) if it contains a single sample.",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-37-6b8416a93fb8>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m      7\u001b[0m \u001b[0mclustering\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mMeanShift\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mbandwidth\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mX\u001b[0m\u001b[1;33m)\u001b[0m           \u001b[1;31m# Perform clustering on X and returns cluster labels.\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      8\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 9\u001b[1;33m \u001b[0mnew_pic\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mclustering\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfit_predict\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnew_pic\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     10\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mimshow\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnew_pic\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mcmap\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcm\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mgray\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\sklearn\\base.py\u001b[0m in \u001b[0;36mfit_predict\u001b[1;34m(self, X, y)\u001b[0m\n\u001b[0;32m    579\u001b[0m         \u001b[1;31m# non-optimized default implementation; override when a better\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    580\u001b[0m         \u001b[1;31m# method is possible for a given clustering algorithm\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 581\u001b[1;33m         \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mX\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    582\u001b[0m         \u001b[1;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mlabels_\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    583\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\sklearn\\cluster\\_mean_shift.py\u001b[0m in \u001b[0;36mfit\u001b[1;34m(self, X, y)\u001b[0m\n\u001b[0;32m    373\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    374\u001b[0m         \"\"\"\n\u001b[1;32m--> 375\u001b[1;33m         \u001b[0mX\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_validate_data\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mX\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    376\u001b[0m         \u001b[0mbandwidth\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mbandwidth\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    377\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[0mbandwidth\u001b[0m \u001b[1;32mis\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\sklearn\\base.py\u001b[0m in \u001b[0;36m_validate_data\u001b[1;34m(self, X, y, reset, validate_separately, **check_params)\u001b[0m\n\u001b[0;32m    418\u001b[0m                     \u001b[1;34mf\"requires y to be passed, but the target y is None.\"\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    419\u001b[0m                 )\n\u001b[1;32m--> 420\u001b[1;33m             \u001b[0mX\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mcheck_array\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mX\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mcheck_params\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    421\u001b[0m             \u001b[0mout\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mX\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    422\u001b[0m         \u001b[1;32melse\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\sklearn\\utils\\validation.py\u001b[0m in \u001b[0;36minner_f\u001b[1;34m(*args, **kwargs)\u001b[0m\n\u001b[0;32m     70\u001b[0m                           FutureWarning)\n\u001b[0;32m     71\u001b[0m         \u001b[0mkwargs\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mupdate\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m{\u001b[0m\u001b[0mk\u001b[0m\u001b[1;33m:\u001b[0m \u001b[0marg\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mk\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0marg\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mzip\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0msig\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mparameters\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0margs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m}\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 72\u001b[1;33m         \u001b[1;32mreturn\u001b[0m \u001b[0mf\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     73\u001b[0m     \u001b[1;32mreturn\u001b[0m \u001b[0minner_f\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     74\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\sklearn\\utils\\validation.py\u001b[0m in \u001b[0;36mcheck_array\u001b[1;34m(array, accept_sparse, accept_large_sparse, dtype, order, copy, force_all_finite, ensure_2d, allow_nd, ensure_min_samples, ensure_min_features, estimator)\u001b[0m\n\u001b[0;32m    617\u001b[0m             \u001b[1;31m# If input is 1D raise error\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    618\u001b[0m             \u001b[1;32mif\u001b[0m \u001b[0marray\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mndim\u001b[0m \u001b[1;33m==\u001b[0m \u001b[1;36m1\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 619\u001b[1;33m                 raise ValueError(\n\u001b[0m\u001b[0;32m    620\u001b[0m                     \u001b[1;34m\"Expected 2D array, got 1D array instead:\\narray={}.\\n\"\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    621\u001b[0m                     \u001b[1;34m\"Reshape your data either using array.reshape(-1, 1) if \"\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mValueError\u001b[0m: Expected 2D array, got 1D array instead:\narray=[0 1 2].\nReshape your data either using array.reshape(-1, 1) if your data has a single feature or array.reshape(1, -1) if it contains a single sample."
     ]
    }
   ],
   "source": [
    "from sklearn.cluster import estimate_bandwidth,MeanShift\n",
    "from sklearn.datasets import make_classification\n",
    "from numpy import unique\n",
    "from matplotlib import pyplot\n",
    "\n",
    "X, unuse = make_classification(n_samples=10000, n_features=3, n_informative=3, n_redundant=0, n_clusters_per_class=3, random_state=4)\n",
    "clustering = MeanShift(bandwidth=1).fit(X)           # Perform clustering on X and returns cluster labels.\n",
    "\n",
    "new_pic = clustering.fit_predict(new_pic)    \n",
    "plt.imshow(new_pic, cmap=plt.cm.gray)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1758b1820d0>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Question3\n",
    "image_planet = cv2.imread(\"planets.jpg\")\n",
    "gray_planet = cv2.cvtColor(image_planet, cv2.COLOR_RGB2GRAY)\n",
    "plt.imshow(gray_planet,cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1758a6069d0>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Turns to binary and filte it\n",
    "value, b_y_image = cv2.threshold(gray_planet,0,255, cv2.THRESH_TOZERO+cv2.THRESH_OTSU)\n",
    "masks = np.ones((3,3))\n",
    "filted_im = cv2.morphologyEx(b_y_image, cv2.MORPH_OPEN,masks)\n",
    "\n",
    "# Calculate the distance \n",
    "distance = ndi.distance_transform_edt(filted_im)\n",
    "\n",
    "# Separate the graph by the distance\n",
    "coords = peak_local_max(distance, footprint=masks, labels=filted_im)\n",
    "m =  np.zeros(distance.shape, dtype=bool)\n",
    "m[tuple(coords.T)] = True\n",
    "marker, _ = ndi.label(m)\n",
    "labels = watershed(-distance, marker, mask=filted_im)\n",
    "\n",
    "plt.imshow(labels, cmap=plt.cm.nipy_spectral)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "ename": "ValueError",
     "evalue": "Expected 2D array, got 1D array instead:\narray=[0 1 2].\nReshape your data either using array.reshape(-1, 1) if your data has a single feature or array.reshape(1, -1) if it contains a single sample.",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-45-1ba7b74f7043>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m     16\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     17\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 18\u001b[1;33m \u001b[0mclustering\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mMeanShift\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mbandwidth\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnew_pic\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     19\u001b[0m \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mclustering\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mlabels_\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     20\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\sklearn\\cluster\\_mean_shift.py\u001b[0m in \u001b[0;36mfit\u001b[1;34m(self, X, y)\u001b[0m\n\u001b[0;32m    373\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    374\u001b[0m         \"\"\"\n\u001b[1;32m--> 375\u001b[1;33m         \u001b[0mX\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_validate_data\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mX\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    376\u001b[0m         \u001b[0mbandwidth\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mbandwidth\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    377\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[0mbandwidth\u001b[0m \u001b[1;32mis\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\sklearn\\base.py\u001b[0m in \u001b[0;36m_validate_data\u001b[1;34m(self, X, y, reset, validate_separately, **check_params)\u001b[0m\n\u001b[0;32m    418\u001b[0m                     \u001b[1;34mf\"requires y to be passed, but the target y is None.\"\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    419\u001b[0m                 )\n\u001b[1;32m--> 420\u001b[1;33m             \u001b[0mX\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mcheck_array\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mX\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mcheck_params\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    421\u001b[0m             \u001b[0mout\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mX\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    422\u001b[0m         \u001b[1;32melse\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\sklearn\\utils\\validation.py\u001b[0m in \u001b[0;36minner_f\u001b[1;34m(*args, **kwargs)\u001b[0m\n\u001b[0;32m     70\u001b[0m                           FutureWarning)\n\u001b[0;32m     71\u001b[0m         \u001b[0mkwargs\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mupdate\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m{\u001b[0m\u001b[0mk\u001b[0m\u001b[1;33m:\u001b[0m \u001b[0marg\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mk\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0marg\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mzip\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0msig\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mparameters\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0margs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m}\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 72\u001b[1;33m         \u001b[1;32mreturn\u001b[0m \u001b[0mf\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     73\u001b[0m     \u001b[1;32mreturn\u001b[0m \u001b[0minner_f\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     74\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\sklearn\\utils\\validation.py\u001b[0m in \u001b[0;36mcheck_array\u001b[1;34m(array, accept_sparse, accept_large_sparse, dtype, order, copy, force_all_finite, ensure_2d, allow_nd, ensure_min_samples, ensure_min_features, estimator)\u001b[0m\n\u001b[0;32m    617\u001b[0m             \u001b[1;31m# If input is 1D raise error\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    618\u001b[0m             \u001b[1;32mif\u001b[0m \u001b[0marray\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mndim\u001b[0m \u001b[1;33m==\u001b[0m \u001b[1;36m1\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 619\u001b[1;33m                 raise ValueError(\n\u001b[0m\u001b[0;32m    620\u001b[0m                     \u001b[1;34m\"Expected 2D array, got 1D array instead:\\narray={}.\\n\"\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    621\u001b[0m                     \u001b[1;34m\"Reshape your data either using array.reshape(-1, 1) if \"\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mValueError\u001b[0m: Expected 2D array, got 1D array instead:\narray=[0 1 2].\nReshape your data either using array.reshape(-1, 1) if your data has a single feature or array.reshape(1, -1) if it contains a single sample."
     ]
    }
   ],
   "source": [
    "# Meanfiltered\n",
    "red, blue, green = cv2.split(image_planet)\n",
    "\n",
    "redy = red.flatten()\n",
    "bluey = blue.flatten()\n",
    "greeny = green.flatten()\n",
    "\n",
    "length = image.shape[1]*image.shape[0]\n",
    "new_planet = np.zeros((3,length))\n",
    "for i in range(length):\n",
    "    new_planet[0][i] = red_y[i]\n",
    "for i in range(length):\n",
    "    new_planet[1][i] = blue_y[i]\n",
    "for i in range(length):\n",
    "    new_planet[2][i] = green_y[i]\n",
    "    \n",
    "    \n",
    "clustering = MeanShift(bandwidth=1).fit(new_pic)\n",
    "print(clustering.labels_)\n",
    "\n",
    "clustering.fit_predict(new_pic)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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